Question

calcule log √27 3√9 = x

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log_{\sqrt{27}}\:\sqrt[\sf{3}]{\sf{9}} = x}$

$\sf{(\sqrt{27})^x = \sqrt[\sf{3}]{\sf{9}}}$

$\sf{(\sqrt{3^3})^x = \sqrt[\sf{3}]{\sf{3^2}}}$

$\sf{3^{\frac{3x}{2}} = 3^{\frac{2}{3}}$

$\sf{\dfrac{3x}{2} = \dfrac{2}{3}}$

$\sf{9x = 4}$

$\boxed{\boxed{\sf{x = \dfrac{4}{9}}}}$